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Entropy

Entropy

Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...

Entropy and Solvation

Entropy and Solvation

The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...

Second Law of Thermodynamics

Second Law of Thermodynamics

In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...

Third Law of Thermodynamics

Third Law of Thermodynamics

A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.

Entropy and the Second Law of Thermodynamics

Entropy and the Second Law of Thermodynamics

The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...

Entropy Change in Reversible Processes

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

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Updated: Jul 31, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Maximum Entropy Freeze-Out of Hydrodynamic Fluctuations.

Maneesha Sushama Pradeep¹, Mikhail Stephanov¹

¹Department of Physics, University of Illinois, Chicago, Illinois 60607, USA.

Physical Review Letters

|May 8, 2023

Summary

We developed a new method using maximum entropy to analyze fluctuations in heavy-ion collisions. This approach connects collision data to key parameters near the quantum chromodynamics critical point.

Area of Science:

Nuclear Physics
High-Energy Physics
Statistical Mechanics

Background:

Understanding the behavior of matter under extreme conditions, such as in heavy-ion collisions, is crucial for probing fundamental physics.
Fluctuations in these collisions provide insights into the properties of the strongly interacting matter, including phase transitions.

Purpose of the Study:

To introduce a general and principled method for analyzing freeze-out fluctuations in heavy-ion collisions.
To establish a direct relationship between fluctuation observables and fundamental parameters governing the system's state.

Main Methods:

Application of the principle of maximum entropy to model the freeze-out process.
Calculation of irreducible relative correlators to quantify deviations from ideal hadron gas behavior.

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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Main Results:

A direct relationship is established between correlators and deviations in hydrodynamic and hadron gas fluctuations.
The method provides a way to determine critical parameters for freeze-out near the quantum chromodynamics (QCD) critical point.

Conclusions:

The maximum entropy approach offers a robust framework for studying freeze-out dynamics.
This work advances our understanding of critical phenomena in nuclear matter and its equation of state.